Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

20th April 2025

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
Reverse Percentages3 marks
A bill is £912 including VAT at 20%. Work out the amount before VAT.
2
Factorising Harder Quadratics3 marks
Factorise 4x^2 + x - 5.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 6, y = 15. Work out y when x = 3.
4
Spheres and Cones3 marks
A sphere has radius 6 cm. Work out its volume, leaving your answer in terms of pi.
5
Probability Trees3 marks
3 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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